Sentence examples for more general mappings from inspiring English sources

We consider a sufficient and necessary condition for the Ishikawa type iteration process with errors in complete generalized convex metric space; our mappings are the more general mappings (a pair of asymptotically nonexpansive mappings), so our result extend and generalize the corresponding results in [1 4, 6].

Now that the weak generalized φ-hemicontractive mappings are much more general mappings.

In fact, this property is satisfied for more general mappings (see [12, 13]).

Further, we have shown that our newly introduced class of mappings contains many important classes and is better than some apparently looking more general mappings in the literature.

In the course of the last century, this theorem has been generalized and improved by numerous researchers chiefly by replacing contraction mappings with a relatively more general contractive mappings and this practice is still going on.

However, for more general nonexpansive mappings, the Picard iterative algorithm fails to converge to fixed points of nonexpansive mappings even if they enjoy fixed points.

However, for more general nonexpansive mappings, the Picard iterative algorithm fails to converge to fixed points of nonexpansive mappings even when they enjoy fixed points.

However, for more general nonexpansive mappings, Picard iterative algorithm fails to convergence to fixed points of nonexpansive even that it enjoys a fixed point.

Hussain and Jungck [8], Hussain [5], Jungck and Hussain [3], O'Regan and Hussain [7], Pathak and Hussain [14], and Pathak et al. [15] extended the work of Al-Thagafi [13] for more general noncommuting mappings.

We will later consider more general nonlinear mappings in terms of classical utility theory.

The -accretive mappings are more general than -monotone mappings and -accretive mappings in Banach space or Hilbert space, and the resolvent operators associated with -accretive mappings include as special cases the corresponding resolvent operators associated with -monotone operators, -accretive mappings, -monotone operators, -subdifferential operators [1 7, 11 13].